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Algorithmic problem of recognizing automorphisms among endomorphisms of free associative algebras of finite rank. (English) Zbl 0451.16026


MSC:

16W20 Automorphisms and endomorphisms
16S10 Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.)
16S50 Endomorphism rings; matrix rings
16W60 Valuations, completions, formal power series and related constructions (associative rings and algebras)
16P50 Localization and associative Noetherian rings
03D40 Word problems, etc. in computability and recursion theory

Citations:

Zbl 0433.16025
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Full Text: DOI

References:

[1] N. Bourbaki, Algebra. Polynomials and Fields; Ordered Groups [Russian translation], Nauka, Moscow (1966).
[2] P. Cohn, Free Rings and Their Relations, Academic Press (1972). · Zbl 0239.16017
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